Let's divide 37708411 by 338
We want to figure out the number of times 37708411 can be divided by 338.

Step 1:
338 can be fit into 3 0 times, resulting in a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Append the next digit (7) from the dividend to 3 and continue with: 37 / 338

Moving on to step 2:
The number 338 fits into 37 0 times, leaving a remainder of 37.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 37 leaves us with 37.
Include the next digit (7) from the dividend after 37, then repeat: 377 / 338

Going ahead to step 3:
When dividing 377 by 338, we get 1 with a remainder of 39.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 338 from 377 to get 39.
Take the next digit (0) from the dividend and append it to 39, then repeat: 390 / 338

Step 4:
390 divided by 338 is 1 with a remainder of 52.
The next digit of our result is 1. 
Result so far: 11.0
If we take 338 away from 390, we end up with 52.
Include the next digit (8) from the dividend after 52, then repeat: 528 / 338

On to step 5:
338 goes into 528 1 times with a remainder of 190.
Record the quotient 1 as the next digit in the result. 
Result so far: 111.0
If we subtract 338 from 528, we get 190.
Fetch the next digit (4) from the dividend, attach it to 190 and continue: 1904 / 338

Step 6:
1904 divided by 338 is 5 with a remainder of 214.
Use 5 as the next digit of our solution. 
Result so far: 1115.0
Subtract 1690 from 1904 to get 214.
Take the next digit (1) from the dividend and append it to 214, then repeat: 2141 / 338

Let's proceed to step 7:
The number 338 fits into 2141 6 times, leaving a remainder of 113.
Use 6 as the next digit of our solution. 
Result so far: 11156.0
Subtracting 2028 from 2141 leaves us with 113.
Take the next digit (1) from the dividend and append it to 113, then repeat: 1131 / 338

Moving on to step 8:
The number 338 fits into 1131 3 times, leaving a remainder of 117.
Put 3 as the next digit of the answer. 
Result so far: 111563.0
Deduct 1014 from 1131 and we're left with 117.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1170, and continue the process.

Let's proceed to step 9:
If we divide 1170 by 338, we get 3 and a remainder of 156.
Record the quotient 3 as the next digit in the result. 
Result so far: 111563.3
Deduct 1014 from 1170 and we're left with 156.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1560, and continue the process.

Step 10:
The number 338 fits into 1560 4 times, leaving a remainder of 208.
Write down 4 as next digit of the result. 
Result so far: 111563.34
The remainder is 208 after subtracting 1352 from 1560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2080, and continue the process.

Advancing to step 11:
338 can be fit into 2080 6 times, resulting in a remainder of 52.
Write down 6 as next digit of the result. 
Result so far: 111563.346
The remainder is 52 after subtracting 2028 from 2080.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Going ahead to step 12:
When dividing 520 by 338, we get 1 with a remainder of 182.
Put 1 as the next digit of the answer. 
Result so far: 111563.3461
Subtract 338 from 520 to get 182.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1820, and continue the process.

Let's proceed to step 13:
338 goes into 1820 5 times with a remainder of 130.
Put 5 as the next digit of the answer. 
Result so far: 111563.34615
Subtract 1690 from 1820 to get 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1300, and continue the process.

Let's proceed to step 14:
338 goes into 1300 3 times with a remainder of 286.
Put 3 as the next digit of the answer. 
Result so far: 111563.346153
If we subtract 1014 from 1300, we get 286.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2860, and continue the process.

Going ahead to step 15:
The number 338 fits into 2860 8 times, leaving a remainder of 156.
The number 8 becomes the next digit in our result. 
Result so far: 111563.3461538
The remainder is 156 after subtracting 2704 from 2860.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1560, and continue the process.

Let's proceed to step 16:
1560 divided by 338 is 4 with a remainder of 208.
Put 4 as the next digit of the answer. 
Result so far: 111563.34615384
If we subtract 1352 from 1560, we get 208.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2080, and continue the process.

After the division, we end up with 111563.34615384 and a remainder of 2.08e-07.